weight-growth factor

In this paper, by introducing some parameters and estimating the weight coefficient, we give a generalization of Hilbert's double series inequality with a best constant factor, which involves the β function. As its applications, we consider the equivalent form and some particular results.

通过引入一些参数及估算权系数，给出一个推广的具有最佳常数因子的Hilbert重级数不等式，它联系着β函数.作为应用，考虑了它的等价形式及一些特殊结果。

By using the improved Euler-Maclaurin's summation formula and estimating the weight coefficient accurately, one builds a reverse form of the Hardy-Hilbert's type inequality with a best constant factor. As applications, an equivalent form is given.

应用改进的Euler-Maclaurin求和公式，通过精确估算权系数，建立了一个Hardy-Hilbert型不等式的具有最佳常数因子的逆向形式.作为应用，给出了它的一个等价形式。

Diet and exercise can influence a person's weight, but heredity is also a factor.

节食和运动能影响人的体重, 而遗传也是一个因素.

This article uses the method of multi-index comprehensive evaluation index system, using the AHP method to determine the weight of each layer which designed by target layer, rule layer, function layer and the factor layers.

本文使用多指标综合评价方法构建指标体系，并采用AHP方法确定指标体系中各层的权重，设计了由目标层、准则层、功能层和因子层构成的指标体系。

By estimating the weight function, a Hilbert-type integral inequality with a parameter and a best constant factor is built.

通过估算权函数，建立一个含参量的具有最佳常数因子的Hilbert型积分不等式。